Search a number
-
+
424430468 = 227114373439
BaseRepresentation
bin11001010011000…
…100101110000100
31002120122022010222
4121103010232010
51332123233333
6110041003512
713342412420
oct3123045604
91076568128
10424430468
111a8641990
12ba183598
1369c164b7
1440523b80
15273dc298
hex194c4b84

424430468 has 96 divisors (see below), whose sum is σ = 962734080. Its totient is φ = 158941440.

The previous prime is 424430467. The next prime is 424430507. The reversal of 424430468 is 864034424.

It is not an unprimeable number, because it can be changed into a prime (424430467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966593 + ... + 967031.

It is an arithmetic number, because the mean of its divisors is an integer number (10028480).

Almost surely, 2424430468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424430468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481367040).

424430468 is an abundant number, since it is smaller than the sum of its proper divisors (538303612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424430468 is a wasteful number, since it uses less digits than its factorization.

424430468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 424430468 is about 20601.7103173499. The cubic root of 424430468 is about 751.5113039756.

The spelling of 424430468 in words is "four hundred twenty-four million, four hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 43 44 73 77 86 146 154 172 292 301 308 439 473 511 602 803 878 946 1022 1204 1606 1756 1892 2044 3073 3139 3212 3311 4829 5621 6146 6278 6622 9658 11242 12292 12556 13244 18877 19316 21973 22484 32047 33803 34529 37754 43946 64094 67606 69058 75508 87892 128188 132139 135212 138116 207647 224329 241703 264278 352517 415294 448658 483406 528556 705034 830588 897316 966812 1378021 1410068 1453529 2467619 2756042 2907058 4935238 5512084 5814116 9646147 9870476 15158231 19292294 30316462 38584588 60632924 106107617 212215234 424430468